{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "<small>\n",
    "Copyright (c) 2017 Andrew Glassner\n",
    "\n",
    "Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the \"Software\"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:\n",
    "\n",
    "The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.\n",
    "\n",
    "THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.\n",
    "</small>\n",
    "\n",
    "\n",
    "\n",
    "# Deep Learning From Basics to Practice\n",
    "## by Andrew Glassner, https://dlbasics.com, http://glassner.com\n",
    "------\n",
    "## Chapter 19: Optimizers\n",
    "### Notebook 4: Results of different optimizers\n",
    "\n",
    "### Warning: Some of the plots in this notebook require a lot of computing, which can take a long time. Don't expect fast results!\n",
    "\n",
    "This notebook is provided as a “behind-the-scenes” look at code used to make some of the figures in this chapter. It is still in the hacked-together form used to develop the figures, and is only lightly commented."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using Theano backend.\n"
     ]
    }
   ],
   "source": [
    "from keras.models import Sequential\n",
    "from keras.layers import Dense, Activation\n",
    "from keras.optimizers import SGD, Adam, Adagrad, Adadelta, RMSprop, Adamax\n",
    "\n",
    "from keras.utils import np_utils\n",
    "import numpy as np\n",
    "from sklearn.datasets import make_moons\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.preprocessing import MinMaxScaler\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sbn; sbn.set()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Make a File_Helper for saving and loading files.\n",
    "\n",
    "save_files = True\n",
    "\n",
    "import os, sys, inspect\n",
    "current_dir = os.path.dirname(os.path.abspath(inspect.getfile(inspect.currentframe())))\n",
    "sys.path.insert(0, os.path.dirname(current_dir)) # path to parent dir\n",
    "from DLBasics_Utilities import File_Helper\n",
    "file_helper = File_Helper(save_files)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def make_data(num_samples=300, noise=0.2, random_state=42):\n",
    "    (X, y) = make_moons(n_samples=num_samples, noise=noise, random_state=random_state)\n",
    "    X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.33, random_state=42)\n",
    "    y_train = np_utils.to_categorical(y_train, number_of_classes)\n",
    "    y_test = np_utils.to_categorical(y_test, number_of_classes)\n",
    "    mms = MinMaxScaler()\n",
    "    mms.fit(X)\n",
    "    X_train = mms.transform(X_train)\n",
    "    X_test = mms.transform(X_test)\n",
    "    X = mms.transform(X)\n",
    "    return (X, y, X_train, X_test, y_train, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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i5OQgY2wh/6XxvXHjOv/8c5HIyEicnZ0pV67C/yUgfD3Gn3/+BcycqQJSc+575AjZ8+Un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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114c9fc88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "number_of_classes = 2\n",
    "(X, y, X_train, X_test, y_train, y_test) = make_data(num_samples=300, noise=0.1, random_state=42)\n",
    "plt.scatter(X[:,0], X[:,1], c=y, s=80, lw=0.8, cmap='cool')\n",
    "plt.title('All input data')\n",
    "file_helper.save_figure('starting-error-data')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# www.wildml.com/2015/09/implementing-a-neural-network-from-scratch/\n",
    "# plt.contourf throws warnings because np.reduce() has changed. It still works, through.\n",
    "def plot_decision_boundary(filename, model):\n",
    "    # Set min and max values and give it some padding\n",
    "    x_min, x_max = X[:, 0].min() - .1, X[:, 0].max() + .1\n",
    "    y_min, y_max = X[:, 1].min() - .1, X[:, 1].max() + .1\n",
    "    h = 0.01\n",
    "    # Generate a grid of points with distance h between them\n",
    "    xx, yy = np.meshgrid(np.arange(x_min, x_max, h), np.arange(y_min, y_max, h))\n",
    "    # Predict the function value for the whole gid\n",
    "    predictions = model.predict_classes(np.c_[xx.ravel(), yy.ravel()])\n",
    "    #Z = np.asarray([np.argmax(z) for z in predictions])\n",
    "    Z = predictions\n",
    "    Z = Z.reshape(xx.shape)\n",
    "    # Plot the contour and training examples\n",
    "    plt.contourf(xx, yy, Z, cmap='cool', alpha=0.3)\n",
    "    plt.scatter(X[:, 0], X[:, 1], c=y, s=80, lw=1, cmap='cool')#plt.cm.Spectral)\n",
    "    save_figure(filename)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# good saved results with 2, 3, 3, 2\n",
    "def make_model():\n",
    "    model = Sequential()\n",
    "    model.add(Dense(12, input_dim=2, kernel_initializer='glorot_uniform', activation='relu'))\n",
    "    model.add(Dense(13, kernel_initializer='glorot_uniform', activation='relu'))\n",
    "    model.add(Dense(13, kernel_initializer='glorot_uniform', activation='relu'))\n",
    "    model.add(Dense(2, kernel_initializer='glorot_uniform', activation='softmax'))\n",
    "    return model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "(X, y, X_train, X_test, y_train, y_test) = make_data(num_samples=300, noise=0.1, random_state=42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "num_epochs = 20000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# search for a good starting seed\n",
    "def search_opt():\n",
    "    for s in range(10):\n",
    "        np.random.seed(s)\n",
    "        model = make_model()\n",
    "        model.compile(loss='categorical_crossentropy', metrics=['accuracy'], \n",
    "                  optimizer=SGD(lr=0.01))\n",
    "        history = model.fit(X_train, y_train, epochs=2000, batch_size=32, verbose=0)\n",
    "        final_loss = history.history['loss'][-1]\n",
    "        if s==0:\n",
    "            best_loss = final_loss\n",
    "            best_s = s\n",
    "        if final_loss < best_loss:\n",
    "            best_loss = final_loss\n",
    "            best_s = s\n",
    "        print(\"run s=\",s,\" final loss=\",final_loss)\n",
    "    print(\"Best seed = \",best_s,\" with best final loss=\",best_loss)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "np.random.seed(2)\n",
    "batchgd_model = make_model()\n",
    "batchgd_model.compile(loss='categorical_crossentropy', metrics=['accuracy'], \n",
    "              optimizer=SGD(lr=0.01))\n",
    "history_batchgd = batchgd_model.fit(X_train, y_train, epochs=num_epochs, batch_size=len(X_train), verbose=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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MwDCbNm3S2LFjA49dLpc6d+6s2267TZMmTZJUc4OP+fPn6y9/+Yt+//vfB+Yhv/zyy7rh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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114dd1e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(history_batchgd.history['loss'])\n",
    "plt.title('Batch Gradient Descent')\n",
    "plt.xlabel('epoch')\n",
    "plt.ylabel('error')\n",
    "file_helper.save_figure('loss-graph-BatchGD')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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pFBdzrRpX5e3nmuHt4Qzkbg/93uc7iUnQsm0iIiIihUWhuASoWdmFd/qEEVq/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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115db52b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(history_batchgd.history['loss'][:400])\n",
    "plt.title('Batch Gradient Descent')\n",
    "plt.xlabel('epoch')\n",
    "plt.ylabel('error')\n",
    "file_helper.save_figure('loss-graph-BatchGD-first-400')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "np.random.seed(9)\n",
    "sgd_model = make_model()\n",
    "sgd_model.compile(loss='categorical_crossentropy', metrics=['accuracy'],\n",
    "              optimizer=SGD(lr=0.01))\n",
    "history_stochasticgd = sgd_model.fit(X_train, y_train, epochs=num_epochs, batch_size=1, verbose=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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hhx8wY8YMjB07Fv369ZMuinvjjTekUO3n5wchBHJzcy3qaQ62VTH/6Xvs2LEW47v+9Xul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\n4cLQS0Qh53vTkqdlwTf05mYnBXx+p6E30X0zW/fbG9x/ahWVXp1WI1c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mAAAD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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11655e240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(history_stochasticgd.history['loss'][:400])\n",
    "plt.title('Stochastic Gradient Descent loss')\n",
    "plt.xlabel('epoch')\n",
    "plt.ylabel('error')\n",
    "file_helper.save_figure('loss-graph-StochasticGD')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "np.random.seed(9)\n",
    "mini_batchgd_model = make_model()\n",
    "mini_batchgd_model.compile(loss='binary_crossentropy', metrics=['accuracy'], \n",
    "              optimizer=SGD(lr=0.01))\n",
    "history_mini_batchgd = mini_batchgd_model.fit(X_train, y_train, epochs=num_epochs, batch_size=32, verbose=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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RBgAAELQIwcfxjgSzOgQAAEDwIgQfx850CAAAgKBHCD6Od5k0RoIBAACCFyH4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\nLeUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1167b6cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(history_mini_batchgd.history['loss'][:8000])\n",
    "plt.xlabel('epoch')\n",
    "plt.ylabel('error')\n",
    "plt.title('Minibatch SGD loss')\n",
    "file_helper.save_figure('loss-graph-mini-batch-SGD')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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VJBWXVuiDrw/q9+9u1N4jpw2uEAAANFSEXriclk399ditnfX03V0VE1F1I4sT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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x116f91208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(history_mini_batchgd.history['loss'][:400])\n",
    "plt.xlabel('epoch')\n",
    "plt.ylabel('error')\n",
    "plt.title('Minibatch SGD loss')\n",
    "file_helper.save_figure('loss-graph-mini-batch-SGD-first-400')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "np.random.seed(9)\n",
    "mini_batchgd_mom_model = make_model()\n",
    "mini_batchgd_mom_model.compile(loss='binary_crossentropy', metrics=['accuracy'], \n",
    "              optimizer=SGD(lr=0.01, momentum=0.9))\n",
    "history_mini_batchgd_mom = mini_batchgd_mom_model.fit(X_train, y_train, epochs=num_epochs, batch_size=32, verbose=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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QyWQICgoS2lPd1KxZ0+LNiUlJSQD0I7TWMpRRrFixAo0bNzZ73VL4rghLX/oqa+S4LDVr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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117609b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(history_mini_batchgd_mom.history['loss'][:1000])\n",
    "plt.xlabel('epoch')\n",
    "plt.ylabel('error')\n",
    "plt.title('Minibatch SGD with momentum loss')\n",
    "file_helper.save_figure('loss-graph-mini-batch-mom-SGD')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "np.random.seed(8)\n",
    "mini_batchgd_nest_model = make_model()\n",
    "mini_batchgd_nest_model.compile(loss='binary_crossentropy', metrics=['accuracy'], \n",
    "              optimizer=SGD(lr=0.01, momentum=0.9, nesterov=True))\n",
    "history_mini_batchgd_nest = mini_batchgd_nest_model.fit(X_train, y_train, epochs=num_epochs, batch_size=32, verbose=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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UtdOn0/XP8b/IKal/9wbq1baWt4eEUmA2+ygsLFgpKRn8+swAmG9jYb6Nhfk2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\nRERERIrDEExEREREivP/AYDAn654pzl5AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1177c6ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(history_mini_batchgd_nest.history['loss'][:1000])\n",
    "plt.xlabel('epoch')\n",
    "plt.ylabel('error')\n",
    "plt.title('Minibatch SGD with Nesterov loss')\n",
    "file_helper.save_figure('loss-graph-mini-batch-nest-SGD')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "np.random.seed(5)\n",
    "rmsprop_model = make_model()\n",
    "rmsprop_model.compile(loss='binary_crossentropy', metrics=['accuracy'], optimizer=RMSprop(lr=0.01))\n",
    "history_rmsprop = rmsprop_model.fit(X_train, y_train, epochs=num_epochs, batch_size=256, verbose=0)#num_epochs, batch_size=32, verbose=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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aNUrTp0/XgQMHdPXVV+vdd99Vs2bNfFYfAAAQ/IpPlyr7cL6uvKSuwhzcrRA1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\nMAAAACyHEAwAAADLIQQDAADAcv4NYOX16ajH/34AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x116c75e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(history_rmsprop.history['loss'][:5000])\n",
    "plt.xlabel('epoch')\n",
    "plt.ylabel('error')\n",
    "plt.title('RMSprop loss')\n",
    "file_helper.save_figure('loss-graph-rmsprop')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "np.random.seed(6)\n",
    "adagrad_model = make_model()\n",
    "adagrad_model.compile(loss='binary_crossentropy', metrics=['accuracy'], optimizer=Adagrad(lr=0.01))\n",
    "history_adagrad = adagrad_model.fit(X_train, y_train, epochs=num_epochs, batch_size=32, verbose=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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uvvvu0+9//3tdfvnlSk9Pl81m07p161RaWqq5c+fWdY11jpViAAAARKrVSvEZ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1191bc278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(history_adagrad.history['loss'][:10000])\n",
    "plt.xlabel('epoch')\n",
    "plt.ylabel('error')\n",
    "plt.title('Adagrad loss')\n",
    "file_helper.save_figure('loss-graph-adagrad')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "np.random.seed(9)\n",
    "adadelta_model = make_model()\n",
    "adadelta_model.compile(loss='binary_crossentropy', metrics=['accuracy'], optimizer=Adadelta(lr=1.0))\n",
    "history_adadelta = adadelta_model.fit(X_train, y_train, epochs=num_epochs, batch_size=16, verbose=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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4hGAAAAAYhxAMAAAA4xCCAQAAYBxCMAAAAIxDCAYAAIBxCMEAAAAwDiEYAAAAxiEEAwAA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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119bf8b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(history_adadelta.history['loss'][:3000])\n",
    "plt.xlabel('epoch')\n",
    "plt.ylabel('error')\n",
    "plt.title('Adadelta loss')\n",
    "file_helper.save_figure('loss-graph-adadelta')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "np.random.seed(2)\n",
    "adam_model = make_model()\n",
    "adam_model.compile(loss='binary_crossentropy', metrics=['accuracy'], optimizer=Adam(lr=0.001))\n",
    "history_adam = adam_model.fit(X_train, y_train, epochs=num_epochs, batch_size=64, verbose=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AAKCpIgSfp+T4ihB8tNAtt8drcDUAAACoDULweWpxIgRL0uF8RoMBAACaIkLw\neWqREBn4+EAu84IBAACaIkLweYp3hskRapMk7ScEAwAANEmE4PNksVjUKrFiNHh/DiEYAACgKSIE\n10KrZidCcG6RwZUAAACgNgjBtdAqMUqSlFNQygoRAAAATRAhuBYqR4Il6cBRpkQAAAA0NYTgWqic\nEyxJ2TlMiQAAAGhqahWCP/jgAx07dqyua2kynJGhigoPkST9cIQQDAAA0NTUKgRPnz5dOTk5dV1L\nk2GxWJSSHC1J2nfouMHVAAAA4HzVKgSnpKRo+/btdV1Lk3LRiRCcdbhIPp/f4GoAAABwPuy1eVFq\naqoefPBBzZkzRykpKQoLC6vy/JNPPlknxTVmlSPB7jKvDuWVqOUp84QBAADQuNUqBO/Zs0d9+vSR\nJNNOi6gcCZakvYcKCcEAAABNSK1C8Pz58+u6jiYnwelQVHiIilxl2nvouAantTC6JAAAANRQrUKw\nJBUXF2vx4sXavn277Ha7OnXqpGuvvVZRUVF1WV+jVXlz3OY9edwcBwAA0MTUKgQfOHBAv/zlL3X0\n6FG1a9dOPp9Pb775pmbPnq3//Oc/Sk5Orus6G6WLToTgypvjrFaL0SUBAACgBmq1OsRTTz2l5ORk\nLV++XO+++64WL16s5cuXq2XLlvrrX/9a1zU2Wj++OQ4AAABNQ61C8LfffquHH35YiYmJgWOJiYl6\n6KGH9PXXX9dZcY1dSrIz8PHGXUcNrAQAAADno1Yh2GazKTw8vNrxsLAweTyeCy6qqUiIcahDq4og\n/Nn32awXDAAA0ETUKgT37t1bf//731VWVhY4VlZWptmzZ6t37951VlxTMLRPa0lSTkEpo8EAAABN\nRK1ujHvwwQd100036aqrrlJaWposFos2btyo4uJiLViwoK5rbNT6dm6uNyJ36lixRyszDqlnp8Rz\nvwgAAACGqtVIcIcOHfTee+9p5MiR8ng8Ki0t1ahRo/Tee+8pNTW1rmts1Ow2q3p0rAi+GXvz5fMz\nJQIAAKCxq9VI8MSJE/W73/1Ov//97+u6niYprV28vtxwQEWuMs39IEMDuyXrkvYJRpcFAACAM6jV\nSPDKlSsVFhZW17U0WakXxQU+XrHlsJ59c4OyDrOBBgAAQGNVqxA8duxYPf3009qxY4epVoM4k6jw\nECU4HYHHfkkfrcoyriAAAACcVa2mQ3zxxRfKysrSxx9/fNrnt27dekFFNUXXX5qieUsyA48z9uXL\n7/fLYmFFOsz6AAAgAElEQVQXOQAAgMamViH4rrvuqus6mrz0Hi3V6+Jm2rT7qF5+P0OFxR4dyitR\ni4RIo0sDAADAj9QqBG/ZskW33Xab2rZtW9f1NGlR4SFKbXtyfvC2rAJCMAAAQCNUqznB77zzjqzW\nWr006MVFhykprmI3vcysfIOrAQAAwOnUKslefvnlWrBggYqKiuq6nqDQuW2sJGnT7qPKKyw1uBoA\nAAD8WK2mQxw5ckQffvih/vWvfykhIaHacmnLly+vk+KaqvTuLfXVhoNyub2a80GGHripp2yMnAMA\nADQatQrBAwYM0IABA+q6lqDRoVWMrh10kT5csU+ZWQVa+Pku3XhlJ6PLAgAAwAm1Gp6cOHGihg0b\npv379+urr77SDTfcoLi4OPXr108TJ06s6xqbpNFD2in1xLSIpat/0ObdRw2uCAAAAJVqFYI3b96s\nX/ziF8rOztaWLVvk8XiUmZmp8ePH64svvqjrGpsku82qO6/vpkiHXX5Jf393M7vIAQAANBK1CsF/\n/etfdfvtt2v+/PkKCQmRJD3++OO65ZZb9Le//a1OC2zKYqPCdPfYS2SzWlTq8eqZtzZo94FCo8sC\nAAAwvVqF4C1btmjMmDHVjt9yyy3atWvXBRcVTLpcFKdfj+wiSTpW5NFzCzdo2dof9NbnO1k5AgAA\nwCC1ujEuJCTktMujHTx4UOHh4RdcVLAZ1C1ZZeU+vbIkU8dLyvSfZTskSeu25+pPE/qzcgQAAEAD\nq1X6GjZsmJ599lkVFp781f6uXbv0xBNP6PLLL6+r2oLKZT1aamC3pCrHDueVaFtWgUEVAQAAmFet\nQvDkyZNVXFysgQMHyuVy6ac//amuu+462Ww2PfTQQ3VdY9D49bVddNPQTrqsR4vAseXfZRtYEQAA\ngDnVajpEVFSUXn/9da1YsUIZGRny+Xy6+OKLlZ6eznbKZ2G3WTW8XxtJUkRYiD5anaXvd+Rq+XfZ\niokMVc4xl4Zc0kLREaEGVwoAABDcLH6/3290EQ0tP79Y5eU+Q2soKS3XH19ZrZyCqjfHtW4WqWm3\n95fVajGosuBht1sVFxfZKPqN+ke/zYV+mwv9NpfKftc3hm0NEuGw639v7KnoiJAqx7NzirV22xGD\nqgIAADAHQrCBkuIi9NhtfTWkewt1bB0TOL5kZZZMOEAPAADQYGo1Jxh1JzE2XL++tmId4eXfZevf\nn2zXvsPHlbEvX91S4g2uDgAAIDgxEtyIDOneQlHhFdMjFn2+S26P1+CKAAAAghMhuBEJC7FpxMC2\nkqS9h45r2rzVys6pvikJAAAALgwhuJG5ul9b9b64mSTpcL5Lf3p1rT5bly2fjznCAAAAdaVRhGCP\nx6NHH31U/fr1U3p6uubNm3fGcxcvXqyrr75aPXr00P/8z/9o48aNDVhp/bNaLbpnbJpuu6az7DaL\nPGU+zV+6XXM/zFCRq8zo8gAAAIJCowjBM2bMUEZGhubPn6+pU6dq1qxZWrp0abXz1q5dqylTpmjS\npEn68MMP1bNnT91xxx1yuVwGVF1/LBaLLu/ZSo/8so9aJERIklZsOayHXvxWmfvyDa4OAACg6TM8\nBLtcLi1cuFBTpkxRamqqhg0bpgkTJmjBggXVzs3NzdU999yj6667Tq1bt9Y999yjY8eOaefOnQZU\nXv/atXBqym19lda+YpWIUo9Xf3t7ozbszDW4MgAAgKbN8BCcmZkpr9ernj17Bo716dPntNMcrrnm\nGv3mN7+RJLndbr3yyitKTExUx44dG6zehhYeZtfvbuih8SO7yGa1yOX26vmFG/XvT7brhyNFrCcM\nAABQC4avE5yTk6PY2FjZ7SdLSUhIkNvtVn5+vuLi4qq9ZsWKFRo/frwk6emnn1Z4eHiD1WsEi8Wi\nSy9pocQYh154Z7OKXGVa/l22ln+XrcQYhybf3FsJMQ6jywQAAGgyDA/BLpdLoaGhVY5VPvZ4PKd9\nTefOnfX222/r888/1+TJk9W6dWt17969xte02QwfAK+Vbu0TNH18f722bIfWbc+R1+dX7rFSvfX5\nTnVqE6vk+Ah175Agi8VidKmNQmWfm2q/cX7ot7nQb3Oh3+bSUH02PASHhYVVC7uVj880whsfH6/4\n+HilpqZq/fr1eu21184rBDudTXfkOC4uUv93R6Jy8l0a/8RS+f3S6q1HtHrrEUnSiEEpuvvnPQyu\nsnFpyv3G+aPf5kK/zYV+oy4ZHoKTkpJUUFAgn88nq7Ui+efm5srhcMjpdFY5d9OmTbLZbOratWvg\nWIcOHbRr167zumZhoUter+/CizeQXdKMuwZryj9WylN+8r0sWbFXl3VPVqtmUYbV1ljYbFY5neFB\n0W+cG/02F/ptLvTbXCr7Xd8MD8FdunSR3W7X+vXr1bt3b0kVS6GlpaVVO3fhwoXKzs7W3LlzA8e2\nbNmibt26ndc1vV6fysub/hdRotOhiT+9RCszDqtj6xgt+Hi7fH6/HpuzWg/c2ENtk6LlCLWZfnpE\nsPQbNUO/zYV+mwv9Rl2yTZs2bZqRBdjtdh08eFCvvfaaLrnkEm3atElPP/20HnzwQbVv3165ubmy\n2Wyy2+1KSkrSs88+q+joaMXGxurVV1/V0qVL9Ze//EVRUTUf+SwtLQuaHdiax0Wo98XNlJLsVNaR\nIh08WiKf369vNh3Sf1fuU4m7XJe0TzC6TENYrRaFh4cGVb9xZvTbXOi3udBvc6nsd30zPARL0qBB\ng7R161Y9/fTTWrlype6++26NHTtWktS7d2+lpKQoNTVVzZo1U7du3TRnzhy99NJLKioq0syZM9Wh\nQ4fzul6wfhFd0j5BUeEh2p5dEHh/uw8Uav2OXHVuG6voiPr/C9WY8E3TXOi3udBvc6Hf5tJQIdji\nN+FCs/n5xUH965Sd2cf0xfr9+mbzocCxULtVl3ZvoeF92ygpPsLA6hqO3W5VXFxk0PcbFei3udBv\nc6Hf5lLZ73q/Tr1fAQ2uY+sYdWwdo6sHtNUX3x/Q5+v3y1Pu02fr9uuzdfsVYreqdbMoDeyWpGF9\nWpt+zjAAADAfQnAQa90sSrcMv1jpPVpo8Td7tWFnrrw+v8rKfdpzsFB7DhaqbfModW57ckMSd5lX\noXYrwRgAAAQ1QrAJtE2K1sSfXqLcApc+WLFP2TlF2n2gUJL04Yp9at08SnabVc+9tUGZWQUa3q+N\nbhrayeCqAQAA6g9zgk3qnx9u1debDkqSwsNsssiiEnd54Pk/3NpHHVrFGFVenWAOmbnQb3Oh3+ZC\nv82loeYEs/+gSf3sJ+11UXK0JMnl9lYJwJL0xPzv9PHqLPl8fu07dFxlp3zTOXi0WAVF7gatFwAA\noC4xHcKkYqLC9Ni4vtrxQ4GWrMrSxl1Hq53z9pe7tT+nWF9vOqjLe7bUbdekasWWQ5rzfoackaF6\n6jeDFBZqM6B6AACAC8NIsIlZLRZ1bhun+37eXbdcdbEuaZ+gJ+4YoGF9W0uSysp9gSkTn68/IJe7\nXC+/nyG/pGPFHu3cf8zA6gEAAGqPEAxZLBYN7dNav/tFD7VIiNTNwy7Wxa2rzwd+afGWKo+3/1DQ\nUCUCAADUKUIwTuvq/m2rHfvxlIll3/2ghZ/vUpGrTIUlHn2+fr9KSsurvQ4AAKCxYU4wTqvXxc30\nwu8uU2iIVRl78/X8wo3y+vwKC7UpyhGio4Wlcrm9+u/KfSpxl2vPgULtO3xc32/P1e9+0cPo8gEA\nAM6KEIwzCg+r+OtxSfsE/WnCAO3IPqYeHRO0ZW+e/rE4I3De59/vD3y8afdR7TlYqHYtnA1eLwAA\nQE0RglEjSfERSoqPkCSlJJ894G7dl08IBgAAjRpzgnHekuMjdE3/tko5sc7wj+1i1QgAANDIMRKM\nWvnFlR0lSc+9tUEbfnTDXMbefL339R4Vu8o06tIURUeEGlEiAADAGTESjAvyP1ddrFaJkQq1W3Xb\n1Z1ltVjkLvPqva/3aNl32frra+tVVu6Ty82qEQAAoPFgJBgXpHlsuKaP76+ycp9CQ2wqLPbo3a/3\nBJ7PzinSb57+XDarRZN+dom6d0g0sFoAAIAKjATjglksFoWGVGyfPHLwRerYqvpGG16fXwuWbteS\nVfv03bYc+f3+hi4TAAAggJFg1Cmb1ar7b+ihVRmHFO6wa+WWw4FNNnKPleqtz3ZJksamt9OoS9vJ\n6/Np9dYj8vn86t+luULsNiPLBwAAJkEIRp2LcNh1Re/WkqSBXZPl8/n1j/e3aPXWI4Fz3vlqj467\nylTq9urrTQclSXnH3Ro1OMWIkgEAgMkwHQL1zmq16PYRXdS2eVSV48vWZgcCsFSx0QYAAEBDYCQY\nDSIs1KbHftVXfr+0NvOI5i/dJpfbW+WcndnHdKTApeax4QZVCQAAzIKRYDQYm9Uqu82qgd2S9cLv\nfqLBacnVznn8lTXasifPgOoAAICZMBIMw/xqRKqu6NVKrZpF6sMV+/Thin0qLi3XzDfWa8SAthqT\n3o4b5QAAQL0gBMMwdptVHU4sp/bTy9rLZrXoo1VZ8pT7tGRVlpasylLLxEh1uShOl16SrJRkp3KP\nubR09Q8KDbFpTHo72W38MgMAAJw/QjAaBYvFojHp7XVFr1Z69q2N2nf4uCTpQG6xDuQW6/Pv92vE\nwLZanXFERwpckqSYyFBd1a+NkWUDAIAmihCMRiUmKkyP/aqvtu7L14aduVqx+ZCKS8vl9fn1wbf7\nqpy7dE2WUi+KU6tmkbJaLPL7/XK5yxXhCDGoegAA0FRY/Cbcuis/v1jl5T6jy0ANuD1eZezN06ff\n7z/jDXMdW8foF5d31L8+ytSBo8Uak95eowanyG63Ki4ukn6bBP02F/ptLvTbXCr7Xd8IwWgy9h4q\n1N5Dx9Xn4mZ6bdkOrcw4fMZz7/15dx0vKdOgHq0UavXL5zXdX3PT4YekudBvc6Hf5kIIrkd8ETV9\nXp9Pn6zJ1puf7TznuWnt4nXfDd1ls3ITXTDjh6S50G9zod/m0lAhmFSAJslmteqaAW31z4evVP8u\nzSVJ/VKba/hpbpTbvCdPH63KOu3nKSz26O0vd+urDQfqtV4AANC4cGMcmrwJ13XVdYNS1KpZpPyS\nWiVGat32HG3YdXIb5kVf7NbBoyX62U86KC46TJLk9/v1zJsbAitRtG4epXYtnEa8BQAA0MAIwWjy\n7DarWjePkiRZJKX3aKn0Hi1lt1uVW+TRwy98LU+ZT99uPqTVW4+oYyun8os8OpxXUuXzfL8jlxAM\nAIBJMB0CQa1Tmzg9eecgXdajpSySyr0+ZWYVVAvAkrRi8yGVMdcMAABTIAQj6DWLC9evRqRq2q/7\n64rerWS1WKo8nxjjkCQdLSzVvc99pUOnCcgAACC4sDoEgtaZ7ibOOnxcB3KLVVxarmPFbl03KEVP\nv75eO/cfC5zjjAhRs9hwhYbYdGXvVkqKi1ByQgTbNDdi3D1uLvTbXOi3uTTU6hDMCYbptE2KVtuk\n6CrH7hjVVY/NWSXPiW+uhSVlKiwpkyRt3ZcvSWrdLFK9OjXT0cJS9e/SXN07JEqSysp9+nRdtlLb\nxumi5Kqf91S5BS75JTWLDa+HdwUAAM4HI8EIWuc7cuD3+/XRqizlHCuVy12uVWfZjEOSRg66SD+9\nrL3e+3qPFn+zV5L0/H3pigqvvm1zXmGp/vDyKvnl15Rb+wZu5EPdYaTIXOi3udBvc2EkGGhgFotF\nIwZeFHjco0OCXn4/Q2f6V+KHK/ZpR/Yxbf+hIHDs3ue+0u0jUtWuhVMtm0UG5h9v2n1U7jKvJOnf\nn2zX5Ft619v7AAAA50YIBs5gYLdkDeiapBVbDkmSXG6vvtxwQJf3aqVla3/QwaMlVQJwpXlLMiVJ\nY9Lb6fpL20lSlfnGuw8WqshVph3ZBbooKVrlPr9y8l3qmhIny49u2gMAAPWDEAychcVi0eC0FoHH\nQ/u0liT16pSoP8//TrnHSgPPpXdvoTWZR1TqqRjxXbIyS4XFHg3smqzNu/MC55WV+3Tvc19JkpLi\nI+Qp8yr/uFvD+7XRTUM7NcTbAgDA9JgTjKBV33PIysp9+sfiLfpue47GDGmn64e0U0lpmT77fr8W\nfbG7Vp/zmYmXKiYqrI4rNQfmDJoL/TYX+m0uzAkGGrkQu1V3jU1TwXF3YCvmCEeIRg5KUXy0Q2sy\nj2j9ztzA+a2aRSo6PESZWdWnUFTK2JevQd2S6712AADMjkVPgQtgtVgU73RUm8s7KC1Z9/68u347\nuptC7VaF2q267erO6pISf9bP9/GqLJWVe+uzZAAAIEaCgXrVv0uSenRIVLnPp0hHiBKcDn25fr8S\nY8Jls1mUsTe/yvlZR4r0/rd79dPLOhhUMQAA5kAIBupZWKhNYbJJkuKdDv3lrsGSpA27jgZCcOtm\nUXJGhihjb74++HafCos9Gt6vrbbuy1dZuU9D+7RWiJ1f3AAAUFcIwUADq5w60aNDgsamt9OWPXm6\nql9bRUeEBELxlxsO6ssNBwOv2XuoUL8dnWZIvQAABCNCMGAQi8WiUZe206gTawn7/H61TIzUgdzi\naueu3npEPxxZqdioMPXslKjLe7ZiZBgAgAtACAYaCavFogdu7Kn9OUVq1SxKX6zfr/U7c5V1uEiS\ndPBoiQ4eLdHWffnaujdfd49Nk91GEAYAoDYaxU9Qj8ejRx99VP369VN6errmzZt3xnM///xzjRkz\nRr169dLo0aP16aefNmClQP2Kiw5TWvsExUWHaUx6e027vb/GDKkYKbZZLYqJDJUkrd+Zq6df+145\nBS4VFnuMLBkAgCapUYwEz5gxQxkZGZo/f76ys7M1efJktWrVSsOHD69y3rZt2zRp0iQ9/PDDuuyy\ny/Tll1/q3nvv1aJFi9S5c2eDqgfq1/VD2qlHx0RFhYfIGRmiF97ZrI27jmp79jFNnr1CFov088s7\naFifNlWmSJSVe/WfZTuUW+DS+Ou66rttOUprH6+kuAgD3w0AAI2D4TvGuVwuDRw4UHPnzlXfvn0l\nSS+++KJWrFihV199tcq5M2fO1LZt2/SPf/wjcGz8+PG65JJLdP/999f4muw4Yw7BusNQWblXzy3c\nWG15tWaxDl3cJlZ5hW41i3WoyFWuddtzqpzTvqVTU27r25DlNphg7TdOj36bC/02F9PsGJeZmSmv\n16uePXsGjvXp00cvvfRStXPHjh2rsrKyaseLiorqtUagMQmx2/TAjT2VsS9fH6/OUsaefPn8fuUU\nlCqn4JAkaeu+079294FClZSWK8Jh+Jc+AACGMvwnYU5OjmJjY2W3nywlISFBbrdb+fn5iouLCxxv\n3759ldfu2LFDK1eu1M0339xg9QKNgcViUbeUeHVLiZff79fKjMP6eFWW9ucWK8Jh1/GS6v9YrLTn\nYKG6tTv7znUAAAQ7w0Owy+VSaGholWOVjz2eM9/wk5eXp0mTJqlPnz4aOnRovdYINGYWi0WDuiVr\nULdk+fx+WS0Wfb89R19vOqh9h48rr9Bd5fyZb6zXr0akqmtKnBJjws/6uVdvPazNu/P0s8s7BG7K\nAwAgGBgegsPCwqqF3crH4eGn/wGdm5ur22+/XRaLRc8999x5X9PGslKmUNlnM/a7X9ck9euapHKv\nT4u/3qN9h47rhyNFyj1WKkl6ZUmmJCm9RwuNv66rrCc28DiVz+/XPz/cKk+5T7sOHNOMEzvdNVZm\n7rcZ0W9zod/m0lB9NjwEJyUlqaCgQD6fT1ZrxZvOzc2Vw+GQ0+msdv7hw4d12223yWazaf78+VWm\nS9SU03n20S8EF7P3e/yY7pKkj1fu06y31ld57qsNB3VRixjdeFX11VXyCkvlOXEDysGjJfLbbIp3\nOuq/4Atk9n6bDf02F/qNumR4CO7SpYvsdrvWr1+v3r17S5LWrl2rtLTqW8S6XC5NmDBBISEhevXV\nVxUfX7t5jYWFLnm93F0a7Gw2q5zOcPp9Qp9O8RqT3k5hITZl5xTrm00V2zIv+ChT7325S1aLRYPS\nknXDFR0VYrdqZ3ZBlddv252r1IvO/x+dDYV+mwv9Nhf6bS6V/a5vhodgh8Oh0aNHa+rUqfrzn/+s\nw4cPa968eXrqqackVYwKR0dHKywsTLNnz1Z2drZeffVV+Xw+5ebmBj5HVFRUja/p9fpYYsVE6PdJ\n15/YolmS2jSL1Ouf7pSkwI10H63K0kersnR1/zaKj6466nsgt1gdW8U0XLG1RL/NhX6bC/1GXTJ8\nnWBJKi0t1R//+Ed9/PHHio6O1oQJE3TrrbdKklJTU/XUU09pzJgxGjFihPbu3Vvt9WPGjNGTTz5Z\n4+uxzqA5sK7k2fn9fm3dl6+5H25V/nH3Oc+/duBF+vnlHRqgstqh3+ZCv82FfptLQ60T3ChCcEPj\ni8gc+KZZM54yrw4cLZYkfbPpkJZ/l33a8xKcYRrYLVnXDGirSEdIQ5ZYI/TbXOi3udBvczHNZhkA\njBUaYlNKcsVNqCnJTl3eq5Uem7Oq2nlHC936cMU+udzl+uVwtikHADRtrDUCoIpWiZF6dtIQxUSG\nKio8RPeMvaTK85+u229QZQAA1B1GggFU44wM1RN3DJRffkU6QjRiQFstWZUVeH7OBxn6+eUdFBsV\nZmCVAADUHiPBAE4rwmEPzP294YqOevruwXKe2DXu282HNP2VNSooqrihLv+4W1mHjxtWKwAA54sb\n4xC0uJGi7hUWe7Twi136emPFGsNR4SHqmhKn1VuPSJLu+3l39eiYaEht9Ntc6Le50G9zaagb4xgJ\nBlBjzshQ/fraLhoxsK0kqchVFgjAkvTcwo0qLi0zqjwAAGqMEAzgvN1weUc9cGNPdWhZfWvz//fG\nepWVew2oCgCAmiMEA6iVbu3i9Yfb+urO67sqwXlyd7k9B4/rzU936VixR99tO6K8wlIDqwQA4PRY\nHQLABRnYNVkDuybL5/fr6de+V2ZWgZavy9bydRWbboSF2DTjt4MCN9UBANAYMBIMoE5YLRb9+tou\natM8qspxd5lX9//ta327+aBBlQEAUB0hGECdSYwN1//9qq9uGtpJLROr3tn7r4+26UiBS+VeH1Mk\nAACGY4k0BC2W1DHevP9u1VcbT44Ah4XYFBZiVWFJmUYNTtHYy9rX2bXot7nQb3Oh3+bCEmkAmrxx\n16Tq2XuH6NqBF0mqmBpRWFKxhNr73+5V9pEiI8sDAJgYIRhAvbFaLXJGhGr0kBR175BQ7fkn5n+n\njbuOGlAZAMDsWB0CQL0Lsdt038+760iBS/HRDs16e5M27T4qd5lXz721QWPS22nk4BRZLRajSwUA\nmAQjwQAahMViUVJchELsVt14ZcfA2sJ+Se98tUcTZnym5xduVLmX+X4AgPpHCAbQ4FomRmrGbwdp\n8s291CIhInB8/c5cvf3lbnl9BGEAQP0iBAMwhNVqUee2cXr4lt7q3CY2cPyjVVma/spafbPpoLbu\nzZMJF7ABADQAlkhD0GJJnaZlf06R5n64VXsPHa9yfPSQdho9pN05X0+/zYV+mwv9NheWSANgKq2a\nRWnKbX31y+EXKzzMFjj+3td79MLbm5grDACoU4RgAI2G1WrRlb1b6693Dda4azoHjn+3PUeP/mOl\nvli/38DqAADBhBAMoNGJcIToJz1b6d6fdw8cyz1Wqn99tE2vLNkqn9+v1VsPa9bbm9iCGQBQK6wT\nDKDR6tkxUeNHdtHcD7cGjn254aDiox169+s9kip2oXvgxp5GlQgAaKIIwQAatcFpyUqMcejz9Qe0\nKuOwJAUCsCRt2ZMnr88nO7/YAgCcB35qAGjULJaKpdR+c303/e+NPU57zo9XlAAA4FwIwQCajLR2\nCbr+0pRqx3dmH2v4YgAATRohGECTMrBbcrVj73+zV4fzSgyoBgDQVBGCATQpyfERmvTTS3T7iFSN\nGNhWklTiLtdjc1Yp61ChwdUBAJoKbowD0OT0uriZJKnUU66Mvfnad+i4Sj1ePTTra/1qRKq6pcTJ\nEcq3NwDAmbFtMoIW22yag9/v17K12Xrj053ynfh2ZrNa9LOfdNA1A9oaXB3qC1/f5kK/zYVtkwGg\nBiwWi67q10YP3dxL8c4wSZLX59ebn+3khjkAwBkRggEEha7t4vXSw8N099g0hdorvrW9/ukOFZeW\nGVwZAKAxIgQDCBqOMLsGdkvWyMEpkqTdBwo1/ZU1KnIRhAEAVRGCAQSdEQPa6rIeLSVJOQWlmvHv\ndfp280GDqwIANCaEYABBx26z6lcjUtW/S3NJ0v7cYs35YKvW78w1uDIAQGNBCAYQtG4f0UXD+7UJ\nPP7nh1tVUOQ2sCIAQGNBCAYQtMJCbbppaCc9cGNPSVKRq0z/O+sbzX5vs7w+llkCADMjBAMIet3a\nxWvEKWsGr956RP/5ZEdgXWEAgPkQggGYwk9/0l5X9GoVePzZ9/v1/MKNOpRXohWbD6mwxKPXlu3Q\nmswjBlYJAGgo7CsKwBRsVqtuvbqzYqNC9c5XeyRJG3cd1cZdR6uc9+m6bHW5KE5R4SFGlAkAaCCM\nBAMwlZGDU/SHW/soLjrstM97fX6t257TwFUBABoaIRiAqVgtFnVoFaM7R3U94zlrmRIBAEGPEAzA\nlDq3jdP9N/TQjVd2rPZcxt58dpkDgCBHCAZgWt07JOjq/m2rHff5mRIBAMGOEAzA9Cbf3EudWsfo\n3p93V3J8hCRpzdbDBlcFAKhPhGAApte5bZwe+WUf9eyYqH6pFVstb9mbr+wjRQZXBgCoL4RgADjF\noLTkwMdT/7la3zMtAgCCEiEYAE6RHB+hgd2SJEl+SX97e5NmvrFeuQUuYwsDANQpQjAA/Mido7rp\nwZt6KjqiYsOMLXvyNHXeGm3YmWtwZQCAutIoQrDH49Gjjz6qfv36KT09XfPmzTvna9auXathw4Y1\nQHUAzKhrSrwm/bS7nCeCsMtdrhfe2ayd+48ZXBkAoC40ihA8Y8YMZWRkaP78+Zo6dapmzZqlpUuX\nnuvLlewAACAASURBVPH8bdu26f7775ff72/AKgGYTcfWMXr23nQ99D+9FGq3qtzr098WbdTBo8VG\nlwYAuECGh2CXy6WFCxdqypQpSk1N1bBhwzRhwgQtWLDgtOe//v/bu/Pwpqr8f+Dvm9wsXdKFbtCy\nF2lZpC1lVQRERXGroz8dcfmCqKCj6E+cR9RxWAYcATccC/7EUUQcUQFxFB0XfOY7OFhlaaGFgtCi\nhUJbUmjTplluknt+f4QGY0HWNm3u+/U8eUrOuUk+yYfkfnJy7rnvv4+JEyciMTGxjSMlIq3K7BGP\n+28YAAlAo8ODucu3YOOOw6EOi4iIzkPIi+A9e/bA5/MhOzs70Jabm4vi4uKTbv/f//4XixYtwqRJ\nk9oqRCIi5GYk4a7xfaHXSVC8KlZ8sYdzhImIOrCQF8FWqxVxcXGQZTnQlpCQALfbjbq6uhbb5+fn\ncy4wEYXE5YO74pn/GQKzUQ8hgPyPSrCppApOtzfUoRER0VmST79J63I6nTAajUFtzdcVRWmVx9Tr\nQ177UxtozjPzrQ1tle/0rrH4v7dlYfGHO+BSfHjzs91YX1CB+fcPh8mgb9XHphP4/tYW5ltb2irP\nIS+CTSZTi2K3+XpERESrPGZMTOvcL7VPzLe2tEW+L42PgslsxHNvb4biVVFzzIH7F/4bPTpbcMfV\nmbhkUGqrx0B+fH9rC/NNF1LIi+CUlBTU19dDVVXodP7Kv7a2FmazGTExMa3ymA0NTvh8aqvcN7Uf\ner0OMTERzLdGtHW+0ztHY8mMMZi7fDMqrf7VIiqqG7HgnS14duoIdE2KbvUYtIzvb21hvrWlOd+t\nLeRFcL9+/SDLMrZv347BgwcD8K8BPHDgwFZ7TJ9PhdfLN5FWMN/a0pb51uskPHVXLtb8pxzHbC7s\nKD8KIYB/fvsTpt04IGjbukY3yg/ZkNUnEQaZP+leKHx/awvzTRdSyD+JzWYz8vLyMHv2bJSUlGDD\nhg1Yvnx5YPWH2tpauN3uEEdJRHRyESYZd4/PwKO3ZuGK3K4AgB9Ka7Bh60EAgMerwq34kP9RMZZ+\nvBNfH28nIqLQCvlIMAA89dRTmDt3LiZNmgSLxYJHH300sALEqFGjsGDBAtx0000hjpKI6LdNGN4d\n3xYfhuJR8d6Gfai1ufBt8WE43b7ANmv+txzXjugRwiiJiAgAJKHB067V1TXx5xQNkGUd4uOjmG+N\naC/5Lj9sw6trS9DQdOrVbd6ceTkkSWrDqMJPe8k3tQ3mW1ua893aQj4dgogonKSnxuLR/zMIRsOp\nP16PNXCKFxFRqLEIJiK6wHp1icGsSUNxzfDuuO3yPi36X/90F4r2WkMQGRERNWMRTETUClITo3Db\n5X0wflg3DO+fgh4plkBfWaUN+etKUFPnCGGERETaxiKYiKgV6SQJ024cgNn3DA1aGk0I4KvNXCmC\niChUWAQTEbWR+GhT0PXNu2ugeHyn2JqIiFoTi2Aiojbyu9G9oZMkdE/xn02uyeXF0o93wuHyAAB2\n/XwMxeW1oQyRiEgz2sU6wUREWjC8fwpyM5KgkyS89OF2lP5ch+Lyo1j2aSluv+IivPTBdggBTJ6Q\nidFZqaEOl4gorHEkmIioDcl6HXQ6CdNvGYShmckAgOLyo/jz339A86rtK7/8ERpcwp2IqE2xCCYi\nCgGTQY/7ru+H7sn+qRE+9UTR61MFDh/lyhFERK2JRTARUYgYZD2m3zIoMEf4l7bsrglBRERE2sE5\nwUREIZQQa8asyUOx72A99h6sx+Y9R3DI2oQvfjiAUYO6IDE2ItQhEhGFJY4EExGFmE6SkNE9Hjdc\n2gtTbxgAnSRB8ap47eOdsDs9oQ6PiCgssQgmImpHuiVH4+ph3QAAP1U1YuE/ClFb7wxxVERE4YfT\nIYiI2plbxqbD41WxYVslDtU24Yn/V4Aos4ybx6RjbHYqJEkKdYhERB0eR4KJiNoZnSRh4pUX4ZYx\n/pNrAP4Ta6z88kf8878/hTg6IqLwwCKYiKgdkiQJ143siT9PGoLk+BMHx33xwwEca3CFMDIiovDA\nIpiIqB3r0dmC+fcNxxMTcyABULwqFr5XiK17jkBVeUINIqJzxSKYiKidk/U6ZPaIx3WX9AAAWOtd\nWPrxTrz04XYoHl+IoyMi6phYBBMRdRC/u6w3Jl5xUeB66c91WPnlj/CpagijIiLqmFgEExF1EJIk\n4aqh3TB3yjCkJUUBADbtrMbCfxRxGTUiorPEIpiIqIPplhyNmXcMRp+usQCAskM2zHprM/53+yF4\nfRwVJiI6EyyCiYg6oOgIA2bekYO8Ub2gkyS4FB/e+eJHPL3se5TsPxrq8IiI2j0WwUREHZRep0Pe\nqF546u7BSE30T4+otbnw8oc78OraYpQfsoU4QiKi9otFMBFRB5eeGou/3DsM024cgJhIAwCgaF8t\n/vruNry5vhR1je4QR0hE1P6wCCYiCgM6ScLw/imYd99wjM1OhVHWQQj/gXN/WbEF+w83hDpEIqJ2\nRRJCaG619bq6Jni9PHgk3MmyDvHxUcy3RjDfwY41uPDJpp+wcUdVoO2irrHo1yMe/Xt2wkVdYyEd\nPyVzR8R8awvzrS3N+W5tHAkmIgpDnWLMmDyhHx7IGwCjwf9Rv6/Shk82/YwF/yjEe1/vgwbHQIiI\nAuRQB0BERK1nWL8U9OxsQcGuGhSX16LS2gSPV8U3hZXYUV6Li7rGYnj/FAxKTwx1qEREbYrTIShs\n8eczbWG+z4zd6cGz72xFTV3wyTVm/D4LA3slhCiqs8d8awvzrS2cDkFERBdcdIQB0/IGoHtydOCs\ncwDw0gc78PyqImzeXQNV1dzYCBFpEKdDEBFpTM/OMZgzZRgA4IsfDuDDf5cBAHZX1GF3RR0G9KrC\nXeP7IiU+MpRhEhG1Ko4EExFp2FVDu+Ku8X0xvH8KzEY9AGDXT8fw9LLv8cmmn1BzzAEA8Kn8CZqI\nwgvnBFPY4hwybWG+z5/Hq2LFF3vw3c7qk/aPHNAZ/3NNBkwGfRtH1hLzrS3Mt7a01ZxgTocgIiIA\ngEHW4b7r+2NsdhpWfvUjDh6xB/UX7KpGpdWOSy/ugv4949E1KTqoXwgBu9MDS6SxLcMmIjonHAmm\nsMWRA21hvi8sIQSO1DlRtK8W35dW40CNvcU2vVNjMKBnJ2RflIhOMWa8ub4UO386hpEDOmPKdZnQ\n61pvxh3zrS3Mt7a01Ugwi2AKW/zQ1Bbmu3WpqsCGbZX4tvgwDlmbTrv9tSN64JYxvVvtrHTMt7Yw\n39rCIrgV8U2kDfzQ1Bbmu+00OBR8V1KNwn1WlB+y4VR7EVkvoXOnKIzLTcOlA7vAIF+4kWHmW1uY\nb21hEdyK+CbSBn5oagvzHRp1jW7sP2yDtd6F1MQodE6IxKtri1uMFkeYZMRGGRFvMaF/z3j07hKD\ntKRoxESd2/xh5ltbmG9tYRHcivgm0gZ+aGoL891+KB4fNu44jFqbC7t+Pvab0ycyusVhXG5X9O8Z\nj0iTfMbTJ5hvbWG+tYWrQxARUYdkNOhx5ZBuAPwH2BWXH8XWH4+g/FADqo+vO9zsx4P1+PFgPQBA\n1usQbzEiKz0RfbvFoUtCJDrFmCFJgNnI3RURXVgcCaawxZEDbWG+Owan2wu9TsLuijps22tFyf6j\nsNmV094upVMkMrrFoVtyNOItJsREGZGVmQK3U2G+NYDvb23hSDAREYWdCJN/t5PVJxFZfRKhCoH9\nhxtQVduEBoeCiho7tu+zwusLHp+pOeYInL2umU4CuiZHo1tSNIxGPapq/dMuhvVPwcj+nWGQddDp\nWmd1CiLq+DgSTGGLIwfawnyHD4/Xh7pGN8oPN8DrVeH2+FB2yIYfD9TD1nT6UeNfMhp06N+jE1I6\nRSAhxowBvTqhk8UMk1EPIUSrLeFGFxbf39rCkWAiItIkg6xHcnwkkuMjA23Nc4zrGt2otTmh1+tw\n6KgDO/Zacbi2CdXHHOiSEAlJknC49sSBeIpHxfay2haPYTTo4PGoSO4Uiaz0BKQlRSE2yohOFjNS\nE6M4gkykASyCiYiow4i3mBBvMUGWdRg+KA2XZ6fC61Xh9amQ9TqoQmDn/mM41uiCzydQabVjy+4j\n0Okk2J2ewP0oHv9oYs0xB7761TQLo0GH6AgDjLIeUREyoswGdO4UidTEKFgiDUiKjYDZqEekWUbE\nWaxoQUTtC4tgIiLq8GS9/0QcOknCoPSEoL5J12QCAI41uFB2yAZbkwLF44NOkrCv0obdFXVwe3yB\n7RWPimMed9B9FJcfPenj6nUSoiMMiI40IMokIyrCgDiLCZ0sJqTER8Jo0KFTjBkerwohgC4JkYF5\n0UQUWnwnEhGRJnSKMWNYjDmobQIAr0+Fza7A7vSg1ubCIasdDrcXiseHRocHTS4PDh6xo8nlbXGf\nPlXA1qSc1VzluGgjZL0OXp+KmCgjkuMikBTnH102G2VERxhga1JwpM6BbikWJMSY4HB7kRQbgd6p\nMRx5JrpAWAQTEZGmyXodEmLNSIg1o0dnC3IzklpsI4SAS/GhoUlBTZ0TXp+KJpcHdqcHjQ4P7A4P\nHG4v7A4FdXY36hrdLVa4aFb/iyXh6u0KDtTYzzhWSQKizAZEmmREmGVEmvyXhFgzLJEGWCKNsEQY\noNfrYDLoYDTo4XB74XL70CctBrYmBR6vCkuUEZVH7OiaFBU097qZ2+ODUdax4KawxiKYiIjoNCRJ\nQoTJPwc4pVPLovHXfKqKYw1ueH0qrPUuGGUdBIDDtU2oqXNAgr+4PFzrH3W21rvg8alQFB9+a8km\nIQC70xM0v/l8JcWZkRwfiSizf35zpdWOQ9YmJMaaMSY7FREmGQ1NCo41uhEbZUT3FAuS4yIgSf4v\nEHHRJpiN+sDBhA6XF5VWO2Kjjce3YyFN7VO7WCJNURTMmTMHX3/9NcxmM6ZMmYJ77rnnpNuWlpZi\nzpw52Lt3Ly666CLMmTMHAwYMOKvH4xIr2sAldbSF+daWcM234vHB7fFB1utgNupxuLYJRxvcSE2M\nxP7DDTjW4IbD7YHD5YXT7UWTywuHywurzYkmpxdeX+heC0kCjLIeiudEIR9vMSE6wgCdJEGn83+Z\n0EkSTEY9YqOMiIkywijrYJB10Ot0J71PAEiINSMqyoTGRheMsh6WKANio4yIjTLBIJ+4XYNDgaoK\nxEQZoWPx3WFpaom0hQsXorS0FCtXrkRlZSVmzpyJtLQ0jB8/Pmg7p9OJqVOnIi8vDwsWLMCqVasw\nbdo0bNiwAWaz+RT3TkRE1DEYDXoYDfrA9bSkaKQlRQMAEmMjfvO2Qgg43T44XB7/qLJHheL1QYIE\nvV5CRU0jLBEG6HQSjtpc6JYcjUprEw5Z7bDWO+FSfLA7PfCpAv16xOPgETsqqht/c2Q6+PERdIAh\n4F/Srq7RfYpbXBjNxbeslwLzts1GPVLiIwHJ/7qYjTIUjw9en4rOCVEwyTro9ToY9Dro9dLxIlwK\nFOMG2d8uhP+LSczxgt3p8sISaYAs6yBUINIsQ5KA+kY3Is3+dsXj8x8sefy1Nuh50pb2KuQjwU6n\nEyNGjMCbb76JIUOGAABee+01FBQU4J133gnads2aNXj99dfx9ddfB9quvvpqPPjgg7jpppvO+DHD\nbeSATi5cR4ro5JhvbWG+24YqBHw+AUkCrPVOpMRHoupoU2A6htujot7uhserHr/4YDbJ6J4cDWu9\nC/urGuDx+KAKASH896cKwOX2wtakoMGhwONR4fGpUNXgcqS5OhFCnHEh3l4ZDf6Cu3mE3+XxQT5e\nbLs9PjS5PIiJNCI5PiJQ0Ot0Enyq//X3qQI+1f//vMnphdGgC0zP8V/0iDDKMBn0aHAoiDL7i3BJ\nApqcHsiyf9m/SJMMnU46PjJ/4q9eJ0GS/KudNF8P7vP3B/6i+br/35D8Z3AEAL1eB5tdgcfrg0H2\nn5QmwiTDbNSf8dQYzYwE79mzBz6fD9nZ2YG23NxcvP766y22LS4uRm5ublDb4MGDUVRUdFZFMBER\nEZ2eTpKgk/2FS5cEf1HSPDJ9OhndgVGDupx3DKoQqLe7ERsbCbdTQaNDQUOTApvdX0Qrx4toxeND\nQqwZZoMe+6sa0OQ8sZqHw+WB2STD4/UX7V6vCq8qjv9Vj681LeD1+f+qvxgflIDzLsIVjxpYm9rW\ndPJtam0u1Npc5/lIoXeq10uvkxAVYQgUw7pfFdV6nYSm479iJMZGYPGMsa0ea8iLYKvViri4OMjy\niVASEhLgdrtRV1eH+Pj4QPuRI0fQt2/foNsnJCSgrKyszeIlIiKitqOTJCTHRx4f+QciTbJ/qsNv\nGDGg83k9pqoKeHwqJPhHJRubFDQ6PDAb9ai1ufwjpHoJDpcXEoAIswyX4oNQBYwGPZqOH7zoEwIe\nrwqX4oPv+BQVl+KF2SjDpwp4vL7AKO1Rmwv1dgVen7+oF6o4MTKr90/X8HhVRJllCAH/qh+KFw63\nD063Fy63F4pXhcmgh+L1BUbSL0QRfzZO9Vg+VaChSUHDKb4E/JLNfnanRz9XIS+CnU4njEZjUFvz\ndUUJfhFcLtdJt/31dqej17ecfE/hpznPzLc2MN/awnxrSyjybcSJudkJcRFIiPPPye6c2Po/058r\nr0+FXuefy+x0eyHg/9LgUwXsTv8yfkL1j3Srgb/+AlVVVf9f4f8S4FNVqALw+fwnehE4PjXl+NQW\n/0Ucb/f/G/AfnBhvMSEmygiPR4Uk+VcMsTs9sLs8cCu+E7c9PkVGCMDl8SHCqEek2RB0sGNrCnkR\nbDKZWhSxzdcjIiLOaNuzPSguJua3Dy6g8MJ8awvzrS3Mt7Yw3+cuOdQBtEMh/wqdkpKC+vp6qOqJ\nAxtqa2thNpsRExPTYlur1RrUVltbi6SklgubExERERGdSsiL4H79+kGWZWzfvj3QtnXrVgwcOLDF\ntllZWSgqKgpqKyoqCjqojoiIiIjodEJeBJvNZuTl5WH27NkoKSnBhg0bsHz5ckyaNAmAf6TX7fav\nMXj11VejsbERf/3rX1FeXo758+fD4XBgwoQJoXwKRERERNTBhHydYMB/wNvcuXPx5ZdfwmKx4L77\n7sPdd98NAMjMzMSCBQsCS6CVlJRg9uzZ2L9/PzIyMjB37lxkZmaGMnwiIiIi6mDaRRFMRERERNSW\nQj4dgoiIiIiorbEIJiIiIiLNYRFMRERERJrDIpiIiIiINIdFMBERERFpjmaKYEVR8PTTT2Po0KG4\n7LLLsHz58lCHROehpqYGjzzyCIYPH44xY8ZgwYIFgVNqV1ZW4p577kFOTg6uv/56bNq0Kei23333\nHW644QZkZ2dj8uTJOHjwYCieAp2jqVOn4qmnngpcLy0txW233Ybs7Gzceuut2LVrV9D269evx1VX\nXYWcnBw8/PDDqKura+uQ6SwpioK5c+di2LBhGDVqFF5++eVAH/Mdfqqrq/HAAw8gNzcXV1xxBVas\nWBHoY77Dh6IouOGGG7Bly5ZA2/nur99++22MHj0aubm5+NOf/hQ4r8SZ0kwRvHDhQpSWlmLlypWY\nPXs28vPz8dVXX4U6LDpHjzzyCNxuN9577z289NJL+Pe//41XXnkFAPCHP/wBycnJWLt2LW688UY8\n/PDDqK6uBgBUVVXhoYcewi233IK1a9ciPj4eDz30UCifCp2Fzz77DBs3bgxcdzqdmDp1KoYOHYqP\nPvoI2dnZmDZtGlwuFwCguLgYzzzzDKZPn44PPvgANpstqICm9mn+/PkoKCjAW2+9hRdeeAEffvgh\nPvzwQ+Y7TD366KOIiorCunXr8PTTT2Px4sXYsGED8x1GFEXBjBkzUFZWFtT+0EMPnfP++ssvv8TS\npUsxb948rFixAjt27MDzzz9/doEJDXA4HGLQoEFiy5YtgbalS5eKu+++O4RR0bkqLy8XmZmZ4ujR\no4G29evXi9GjR4uCggKRk5MjXC5XoG/y5Mni1VdfFUIIsXjx4qC8O51OMXjwYLF58+a2ewJ0Turr\n68WYMWPErbfeKp588kkhhBCrV68WV155ZdB248ePF+vWrRNCCPHEE08EthVCiKqqKpGZmSkqKyvb\nLnA6K/X19WLAgAFBn9fLli0TTz/9tFizZg3zHWZsNpvIyMgQ+/btC7RNnz5dzJs3j/kOE2VlZSIv\nL0/k5eWJzMzMwP72u+++O6/99Z133iny8/MD/Vu3bhVZWVlB93c6mhgJ3rNnD3w+H7KzswNtubm5\nKC4uDmFUdK6SkpLwxhtvoFOnTkHtjY2N2LFjBwYMGACTyRRoz83Nxfbt2wH4Rw6GDh0a6DObzejf\nvz+KioraJng6ZwsXLkReXh7S09MDbcXFxcjNzQ3abvDgwYF8bt++PSjfnTt3RpcuXbBjx462CZrO\n2rZt22CxWDBkyJBA2/33349nn30WO3bsYL7DjNlsRkREBNauXQuv14v9+/ejsLAQ/fr1Y77DxObN\nmzFy5Eh88MEHEL84P1txcfE5769VVUVJSUnQ50R2djY8Hg/27NlzxrFpogi2Wq2Ii4uDLMuBtoSE\nBLjdbs4f6oAsFgtGjRoVuC6EwLvvvouRI0fCarUiOTk5aPuEhATU1NQAAI4cOdKiPzExMdBP7VNB\nQQG2bdvWYurKyfL5y3yf7P9DYmJi4Oc2an8OHjyItLQ0fPzxx5gwYQKuvPJKLF26FEII5jsMGY1G\nzJo1C++//z6ysrJw7bXXYvTo0bjllluY7zAxceJEzJw5M6jYBU6evzPdXzc0NMDtdgf16/V6xMXF\nnVX+5dNv0vE5nU4YjcagtubrzQdTUce1aNEi7N69G2vWrMHy5ctPmuvmPLtcrt/sp/ZHURTMmTMH\ns2fPbpG70+WT+e54HA4Hfv75Z6xevRoLFiyA1WrFrFmzEBkZyXyHqfLycowbNw733nsv9u7di3nz\n5mHkyJHMd5g7VW12Jvltnhd+vvnXRBFsMplavCjN1yMiIkIREl0gzz//PFauXInFixejT58+MJlM\nsNlsQdsoigKz2Qzg1P8XYmJi2ixmOjuvvvoqBg4ciEsuuaRF36nyebp8N/dT+6PX69HU1IQXX3wR\nnTt3BgAcOnQI7733Hnr16sV8h5mCggKsWbMGGzduhNFoRP/+/VFdXY3XXnsN3bt3Z77D2Pnsr081\nkKkoylnVdZqYDpGSkoL6+nqoqhpoq62thdlsZvHTgTUfEfr888/jyiuvBODPtdVqDdqutrYWSUlJ\nZ9RP7c/nn3+Ob775Bjk5OcjJycGnn36KTz/9FIMHDz5tPpOTk1FbW9ui/9c/sVH7kZycDJPJFCiA\nAaBXr16orq5GcnIy8x1mdu3ahZ49ewaN6PXr1w+HDx9mvsPc+eyv4+PjYTKZgvLv8/lQX19/Vvtz\nTRTB/fr1gyzLgcnWALB161YMHDgwhFHR+cjPz8cHH3yAl19+GRMmTAi0Z2VlobS0NOjb4bZt2wIH\nRWZlZaGwsDDQ53Q6UVpaGnTQJLUv7777Lj799FN88skn+OSTTzBu3DiMGzcO//znP5GVldXioMai\noiLk5OQA8B8osW3btkBfVVUVqqurkZWV1abPgc5cdnY23G43KioqAm3l5eXo2rUrsrOzg96/APPd\n0SUnJ6OiogJerzfQtn//fnTr1o35DnPnur/OycmBJEm4+OKLg/JfVFQEg8GAzMzMM45BP2fOnDnn\n/1TaN1mWUVVVhVWrVuHiiy9GSUkJXnjhBfzxj39E7969Qx0enaXy8nI8/vjjmDZtGsaPHw+HwxG4\n9OnTB+vXr0dRURHS09OxZs0afP7553j22WcRHR2Nrl274sUXX4Rer0dsbCyee+45AMDjjz8e4mdF\np2KxWBAbGxu4NP9sevPNN6N79+548803UVNTg9TUVCxduhR79uzBX/7yF8iyjKSkJCxYsABJSUnQ\n6XSYPXs2MjIycPvtt4f6adEpxMXFYefOnfjss88wcOBA7N69GwsXLsS9996L6667jvkOM2lpaVi1\nahXKysrQp08fFBYWYtGiRXjwwQdxzTXXMN9hJj8/HzfffDPS0tKQmpp61vtrIURgf202m/HSSy+h\nd+/esNvtmDVrFq655hpcfvnlZx7QOS/81sE4nU7x5JNPipycHDF69GjxzjvvhDokOkevv/66yMzM\nDLpkZGSIzMxMIYQQFRUV4q677hKDBg0S119/vSgoKAi6/caNG8XVV18tsrOzxZQpU7imZAfz5JNP\nBq0NWlxcLH73u9+JrKwscdttt4ndu3cHbb9u3ToxduxYkZOTI6ZPny7q6+vbOmQ6S42NjWLmzJli\n8ODB4tJLLxVLliwJ9DHf4aesrExMmTJFDBkyRIwfPz5o/8x8h5dfrhMshBAHDhw4r/31smXLxCWX\nXCKGDh0qnnnmGeF2u88qHkmIXyzaRkRERESkAZqYE0xERERE9EssgomIiIhIc1gEExEREZHmsAgm\nIiIiIs1hEUxEREREmsMimIiIiIg0h0UwEREREWkOi2AiIiIi0hwWwURERESkOSyCiYg0aNy4ccjP\nzw91GEREIcMimIiIiIg0h0UwEREREWkOi2AiohCw2+3485//jJEjR2LIkCGYNGkSdu7cCQDIz8/H\nHXfcgaVLl2LEiBEYNmwYnnrqKdjt9sDtbTYb5s6di7FjxyIrKwsTJ07E5s2bgx7j22+/xe23347s\n7GyMHTsWixcvhhAi0G+1WjF9+nTk5ORgxIgRWLBgQVA/EVE4YxFMRBQC9913Hw4fPoxly5Zh9erV\nyM7Oxh133IE9e/YAAEpKSrBp0ya8/fbbWLJkCbZu3YoZM2YAAFRVxT333IPCwkK88MIL+Oijj9C3\nb19MmTIlUEgXFRVh2rRpGDp0KNatW4f58+fj/fffx5IlSwIxrF27FsOHD8f69evxxBNP4O2338a6\ndeva/sUgIgoBSfBrPxFRmyooKMC9996L77//HjExMYH2u+++G127dkVaWhreeOMNfPPNN0hM0bP0\nLgAAAshJREFUTATgH9WdOnUq/vWvf6GiogIPPPAA1q9fj/T09MDtb775ZvTo0QMvv/wyZsyYgaqq\nKqxatSrQ//XXX+Po0aO4/fbbMW7cOOTk5ODFF18M9Ofl5SE3NxezZs1qg1eBiCi05FAHQESkNaWl\npVBVFWPGjAlq93g8UBQFaWlp6NmzZ6AABoCcnBwIIbB3714cOHAAFoslqAAGgCFDhmDTpk0AgH37\n9mHUqFFB/VdddVXQ9R49egRdj4mJgcvlOu/nR0TUEbAIJiJqY6qqwmKx4KOPPmrRZzQasXr1asiy\n3OI2AKDT6SCEgCRJJ73f5tv9+vYno9O1nBHHHweJSCs4J5iIqI317dsXdrsdiqKgW7dugcuyZcuw\nYcMGAMDPP/8cdCBcYWEhJElC//79kZGRgYaGBpSVlQXdb2FhIfr06QMASE9PR0lJSVD/ihUr8Pvf\n/76Vnx0RUcfAIpiIqI1ddtllyMzMxGOPPYYffvgBBw4cwHPPPYd169YFitimpibMnDkT+/btw3ff\nfYd58+bh2muvRWpqKkaNGoXMzEw8/vjj2LJlC8rLyzF37lzs3bsXkyZNAuA/8G779u3429/+hoqK\nCvznP//Ba6+9hssvvzyUT52IqN3gdAgiojam0+mwfPlyLFq0CI899hicTifS09OxZMkSDB8+HFu2\nbEFqair69euHO++8E7Is48YbbwysDqHT6fDWW29h0aJFePjhh6EoCgYOHIgVK1Zg0KBBAIDMzEws\nWbIEr7zyCv7+978jKSkJkydPxgMPPAAAJ51OQUSkJVwdgoioncnPz8e6devwzTffhDoUIqKwxekQ\nRERERKQ5LIKJiIiISHM4HYKIiIiINIcjwURERESkOSyCiYiIiEhzWAQTERERkeawCCYiIiIizWER\nTERERESawyKYiIiIiDSHRTARERERaQ6LYCIiIiLSnP8PipD9+a170lYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1194be3c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(history_adam.history['loss'][:1000])\n",
    "plt.xlabel('epoch')\n",
    "plt.ylabel('error')\n",
    "plt.title('Adam loss')\n",
    "file_helper.save_figure('loss-graph-adam')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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V++DjrVq1AuHhF3H9+jX89NNCtG//LfT09GBsbIKoqD9x69YNxMbex9Kl/rh9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\nGA2MOV2e+ErVxLr1xYdb5Yx1yBEjpRQcK+Ookc/h046t++R0xsgZ61C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LL79cK1euDDrH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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x116fa9da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(history_mini_batchgd_nest.history['loss'], label='Mini-batch GD Nesterov')\n",
    "plt.plot(history_rmsprop.history['loss'], label='RMSprop')\n",
    "plt.plot(history_adagrad.history['loss'], label='Adagrad')\n",
    "plt.plot(history_adadelta.history['loss'], label='Adadelta')\n",
    "plt.plot(history_adam.history['loss'], label='Adam')\n",
    "plt.xlabel('epoch')\n",
    "plt.ylabel('error')\n",
    "plt.legend(loc='upper right')\n",
    "plt.title('Losses of different optimizers')\n",
    "file_helper.save_figure('loss-graphs-set')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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0a9ceJ0/+iT/+CIOzc4cinWtpwVBMREREb+Xo2BrBwXthZmaGKlWqfPD61qxZ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\nDwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118b6b208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(history_mini_batchgd_nest.history['loss'], label='Mini-batch GD Nesterov')\n",
    "#plt.plot(history_rmsprop.history['loss'], label='RMSprop')\n",
    "plt.plot(history_adagrad.history['loss'], label='Adagrad')\n",
    "plt.plot(history_adadelta.history['loss'], label='Adadelta')\n",
    "plt.plot(history_adam.history['loss'], label='Adam')\n",
    "plt.xlabel('epoch')\n",
    "plt.ylabel('error')\n",
    "plt.legend(loc='upper right')\n",
    "plt.title('Losses of different optimizers')\n",
    "file_helper.save_figure('loss-graphs-set-without-rms')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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1KdCxqgpDMBEREb2Vo6Mz9u/fBxMTE1SuXPmDj7d27SqEhFzCjRvX8dNPi9G5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\nGP3dArCtAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11a22aa20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_limit = 4000\n",
    "plt.plot(history_mini_batchgd_nest.history['loss'][:plot_limit], label='Mini-batch GD Nesterov')\n",
    "plt.plot(history_rmsprop.history['loss'][:plot_limit], label='RMSprop')\n",
    "plt.plot(history_adagrad.history['loss'][:plot_limit], label='Adagrad')\n",
    "plt.plot(history_adadelta.history['loss'][:plot_limit], label='Adadelta')\n",
    "plt.plot(history_adam.history['loss'][:plot_limit], label='Adam')\n",
    "plt.xlabel('epoch')\n",
    "plt.ylabel('error')\n",
    "plt.legend(loc='upper right')\n",
    "plt.title('Losses of different optimizers')\n",
    "file_helper.save_figure('loss-graphs-set-start')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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vjwYNGqBdu3YoXrw4Fi9ejICAABQvXhyNGjVCUFAQbG1tAQBDhgyBiYkJtmzZggULFsDC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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b1ac240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(history_mini_batchgd_nest.history['loss'][:plot_limit], label='Mini-batch GD Nesterov')\n",
    "#plt.plot(history_rmsprop.history['loss'][:plot_limit], label='RMSprop')\n",
    "plt.plot(history_adagrad.history['loss'][:plot_limit], label='Adagrad')\n",
    "plt.plot(history_adadelta.history['loss'][:plot_limit], label='Adadelta')\n",
    "plt.plot(history_adam.history['loss'][:plot_limit], label='Adam')\n",
    "plt.xlabel('epoch')\n",
    "plt.ylabel('error')\n",
    "plt.legend(loc='upper right')\n",
    "plt.title('Losses of different optimizers')\n",
    "file_helper.save_figure('loss-graphs-set-start-without-rms')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
